addition formula
The addition formula of a real (http://planetmath.org/RealFunction) or complex function shows how the value of the function
on a sum-formed variable can be expressed with the values of this function and perhaps of another function on the addends.
Examples
- 1.
Addition formula of an additive function
,
- 2.
Addition formula of the natural power function, i.e. the binomial theorem
,
- 3.
Addition formula of the exponential function
(http://planetmath.org/ComplexExponentialFunction),
- 4.
Addition formulae of the trigonometric functions
(http://planetmath.org/DefinitionsInTrigonometry), e.g.
- 5.
Addition formulae of the hyperbolic functions
, e.g.
- 6.
Addition formula of the Bessel function
,
The five first of those are instances of ; e.g. and are tied together by the algebraic connection (http://planetmath.org/UnitHyperbola) .
One may also speak of the subtraction formulae of functions — one example would be .